Isomorphism between Systems of Equivariant Singularities

Xiaofeng Wang*, Duo Wang, Yun Tang

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

1 Citation (Scopus)


In this article isomorphisms between systems of singularities equivariant under different Lie group actions are investigated and a sufficient condition for two systems to be isomorphic is given. With this sufficiency theorem we show that the system ofO(n)-equivariant singularities in its irreducible representation on Rnis isomorphic to that of one-dimensional Z2-equivariant singularities and the system of[formula]-dimensionalO(n)-equivariant singularities is isomorphic to that ofn-dimensionalSn-equivariant singularities.

Original languageEnglish
Pages (from-to)26-45
Number of pages20
JournalJournal of Mathematical Analysis and Applications
Issue number1
Publication statusPublished - 1 Sept 1998
Externally publishedYes

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